activity
20042006
most citedRigorous conditions for the existence of bound states at the threshold in the two-particle case

10 citations · 13 across the 3 of their papers we have counts for

collaborators

6 papers

math-ph200610 cited

Rigorous conditions for the existence of bound states at the threshold in the two-particle case

D. K. Gridnev, M. E. Garcia

In the framework of non-relativistic quantum mechanics and with the help of the Greens functions formalism we study the behavior of weakly bound states as they approach the continu…

math-ph20061 cited

Bound States at Threshold in Systems with Coulomb Repulsion

D. K. Gridnev

The eigenvalue absorption for a many-particle Hamiltonian depending on a parameter is analyzed in the framework of non--relativistic quantum mechanics. The long--range part of pair…

math-ph20062 cited

Bound States at the Threshold. Many-particle case

D. K. Gridnev

We consider the phenomenon of eigenvalue absorption for a many body Hamiltonian, which depends on a parameter. The conditions on pair potentials, which guarantee that the eigenvalu…

math-ph2005

Proof that the Hydrogen-antihydrogen Molecule is Unstable

D. K. Gridnev, C. Greiner

In the framework of nonrelativistic quantum mechanics we derive a necessary condition for four Coulomb charges , where all masses are assumed…

math-ph2005

Stability of Three Unit Charges. Necessary Conditions

D. K. Gridnev, C. Greiner, W. Greiner

We consider the stability of three Coulomb charges with finite masses in the framework of nonrelativistic quantum mechanics. A simple physical condition on masses…

nucl-th2004

On stability of the neutron rich Oxygen isotopes

K. A. Gridnev, D. K. Gridnev, V. G. Kartavenko +4

Stability with respect to neutron emission is studied for highly neutron-excessive Oxygen isotopes in the framework of Hartree-Fock-Bogoliubov approach with Skyrme forces Sly4 and…